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Finding the Fourth Proportional to 117.77, 176.81 and 57.02

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Solution

The fourth proportional to 117.77, 176.81 and 57.02 is: 85.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.77 : 176.81 = 57.02 : x
  2. Step 2: Convert to fraction form
    117.77/176.81 = 57.02/x
  3. Step 3: Cross multiply
    117.77x = 176.81 × 57.02
  4. Step 4: Simplify right side
    117.77x = 10,080.54
  5. Step 5: Solve for x
    x = 10,080.54/117.77
  6. Step 6: Final answer
    x = 85.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.